کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584291 1630480 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On stable equivalences with endopermutation source
ترجمه فارسی عنوان
در معادلات پایدار با منبع انتوپرموتاسیون
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We show that a bimodule between block algebras which has a fusion stable endopermutation module as a source and which induces Morita equivalences between centralisers of nontrivial subgroups of a defect group induces a stable equivalence of Morita type; this is the converse to a theorem of Puig. The special case where the source is trivial has long been known by many authors. The earliest instance of a result deducing a stable equivalence of Morita type from local Morita equivalences with possibly nontrivial endopermutation source is due to Puig, in the context of blocks with abelian defect groups with a Frobenius inertial quotient. The present note is motivated by an application, due to Biland, to blocks of finite groups with structural properties known to hold for hypothetical minimal counterexamples to the Zp⁎-Theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 434, 15 July 2015, Pages 27–45
نویسندگان
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